|4x−8|−3x=6x+2
Add 3x to both sides.
|4x−8|−3x+3x=6x+2+3x
|4x−8|=9x+2
Solve Absolute Value.
|4x−8|=9x+2
4x−8=9x+2 or 4x−8=−(9x+2)
4x−8=9x+2
4x−8−9x=9x+2−9x(Subtract 9x from both sides)
−5x−8=2
−5x−8+8=2+8(Add 8 to both sides)
−5x=10
−5x/−5 = 10/−5(Divide both sides by -5)
x=−2
4x−8=−(9x+2)
4x−8=−9x−2(Simplify both sides of the equation)
4x−8+9x=−9x−2+9x(Add 9x to both sides)
13x−8=−2
13x−8+8=−2+8(Add 8 to both sides)
13x=6
13x/13=6/13(Divide both sides by 13.)
x = 6/13